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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 12 — Dec. 1, 1999
  • pp: 2845–2858

General method for deriving an XYZ tristimulus space exemplified by use of the Stiles–Burch1955 2° color matching data

Jan Henrik Wold and Arne Valberg  »View Author Affiliations

JOSA A, Vol. 16, Issue 12, pp. 2845-2858 (1999)

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Using, as an example, the color matching functions of the StilesBurch1955 2° pilot group, we show how an XYZ representation of color space can be developed from a given set of color matching data. In doing this, we present a set of criteria that unequivocally defines the representation. The method outlined is general and can be applied to any set of color matching data, in particular those sets that are related to the physiological fundamentals.

© 1999 Optical Society of America

OCIS Codes
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics
(330.1710) Vision, color, and visual optics : Color, measurement
(330.1720) Vision, color, and visual optics : Color vision
(330.1730) Vision, color, and visual optics : Colorimetry
(330.5310) Vision, color, and visual optics : Vision - photoreceptors

Original Manuscript: June 15, 1999
Manuscript Accepted: July 16, 1999
Published: December 1, 1999

Jan Henrik Wold and Arne Valberg, "General method for deriving an XYZ tristimulus space exemplified by use of the Stiles–Burch1955 2° color matching data," J. Opt. Soc. Am. A 16, 2845-2858 (1999)

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  32. In the paper by Stockman et al.,30 the proposed values are 0.68237 and 0.35235. If we apply these values, the maximum of V⋅(λ) turns out to be 0.999777 (at 553 nm). To normalize V⋅(λ) to a maximum value of 1.000000, the coefficients are multiplied by the factor 1/0.999777.
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  34. J. H. Wold, A. Valberg, “Mathematical description of a method for deriving an XYZ tristimulus space,” Department of Physics Report Series (University of Oslo, Oslo, 1999).
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  38. A computer program (written in Mathematica) that determines the coefficient of the transformations that convert a given set of color matching data into a corresponding XYZ representation may be obtained from the authors on request.

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